Section outline
-
-
- All the students registered for this course have to enroll in BLC.
- Students can find all the course materials from BLC.
- All the students have to submit the soft copy of their "Assignment" in BLC under the assignment section created here and for this, they will be graded here.
- One discussion or feedback forum is created under each of the lecture students have to give their feedback on this forum and marks will be given for their feedback.
- Any announcement regarding the class will be posted on BLC. So they have to keep themselves always active on BLC.
- All the quizzes and presentations will be held on the face to face class and maybe a few of the class will be held on online (BLC) and it will be announced before the class.
- The question pattern and the syllabus for the quizzes, midterm, and final exam are given hereunder each of the sections (quizzes, midterm, and final).
- There are midterm and final exam preparation forums under these sections where students can discuss with each other about their midterm and final exam syllabus, any problem regarding the exam, etc.
-
The Mathematics II course contents three sections: Complex variable, Linear Algebra, and Matrices. Introduction to A complex variable gives advanced students an introduction to the theory of functions of a complex variable, a fundamental area of mathematics. Topics include complex numbers and their properties. The linear algebra and matrices section covers matrix theory and linear algebra, emphasizing topics useful in other disciplines. Linear algebra is a branch of mathematics that studies systems of linear equations and the properties of matrices. The concepts of linear algebra are extremely useful in physics, economics and social sciences, natural sciences, and engineering. Due to its broad range of applications, linear algebra is one of the most widely taught subjects in undergraduate-level mathematics.
-
Objectives of the Course:
- Students Will Be Able To Apply The Concepts And Methods Described In The Syllabus
- They Will Be Able To Solve Problems Using Linear Algebra, And Complex variable.
- They Will Know A Number Of Applications.
- The Text And Class Discussion Will Introduce The Concepts, Methods, Applications, And Logical Arguments;
- Students Will Practice Them And Solve Problems On Daily Assignments, And They Will Be Tested On Quizzes And The Final.
Outcomes of the Course:
After The Successful Completion of In this Course, Students Will Be Able To
- Solve Systems of Linear Equations.
- Demonstrate Comprehension of Operations On Matrices And Vector Spaces And Linear Transformations.
- Construct Curves And Surfaces Passing Through Specified Points
- Use Linear Algebra In Traffic Flow, Electrical Circuits, Graph Theory, And Cryptography.
- Find Distance Between Two Points And The Equation of Line And Plane
- Know About Changes of Axes, Direction Ration And Direction Cosine And Their Uses.
- Know About Equation of Plane And Lines And The Distance Between Them.
-
Methods to assess a Student’s performance in this course will consist of the following steps.
Assessment Methods Weighting Description of Assessment Tasks Class Attendance 7% Discussions ( in-class & online ) will ensure, encourage & reward students’ activeness in learning and engagement with others. Quiz: (1st +2 nd +3rd )/3 15% Quizzes will consolidate
- their learning;
- test their basic concepts;
- reward students’ ability to solve problems
Presentations 8% Verbal Presentation by individual students will:
- test the students’ ability to present what they understand throughout the course;
- find out their lacks in expressing a known thing; make them accustomed to facing an audience;
- give them excellent preparation and skills for future professional meetings/conferences.
Assignments 5% Assignments will:
- enhance students’ ability to solve problems without the teacher’s help;
- help students’ group study or interaction with other students.
Midterm Examination 25% The midterm examination will justify students’ progress of subject-based knowledge. Final Examination 40% The final examination will test the students’ overall performance throughout the course. Total 100% Students' successfully complete the course - their learning;
-
Coordinate Geometry: Change of axes; Direction Cosines and projections; Pair of Straight line & 2 Degree General Equation; Shortest Distance; Coordinates of a point in space in different systems; Plane; Quadratics.
Linear Algebra: Determinants: Evaluation, Cramer’s Rule. Matrix: operations, different types, Echelon form – elementary row operations, Rank. Linear equation: systems, solution, Gaussian elimination. Vector space: vectors, linear dependency, bases, Euclidian space, inner product, and inner product space, Gram-Schmidt Orthogonalization. Linear transformations: basic concepts, linear operators. Eigenvalue and Eigenvectors: diagonalization, Cayley-Hamilton theorem; Quadratic forms and Hermitian forms.
Matrices: Matrix Operations, The Inverse of a Matrix, Characterizations of Invertible Matrices, Linear Subspaces, Dimension and Rank
-
Subject
Text Book
Reference Book
Complex Variables 1. Complex analysis with appli. By Zill
2. Complex Variables By ShahidullahLinear Algebra 1. Applied Linear Algebra By C. D Meyer
2. Linear Algebra By M. Salek Parvez -
There are lots of work you can do in the BLC platform but if you don't know how to perfectly use this platform it is difficult to operate it. For your convenience to operate BLC here I prepared a tutorial on usage guidelines. I think this helps you to operate BLC more comfortably.
Complete Guideline Especially on Exam -
Dear Students,
Here you can see your online class schedule as your routine and if you want to join my online class just click on (Click Here, Meet Link) your assigned section. Also, you can provide your attendance from the attendance section and if you want to fix a time for your counselling with me you can also do it from here.
Supportive Tools of Online Class Section
Class Schedule
Meet Link
DAY-A
Saturday (8.30) + Modday (8.30)
Click Here
-
Chapter Name of the Chapter
Lecture Note
PowerPoint
01 Matrix and Determinant
Click Here
Click Here
02 Elementary Transformation
Click Here
Click Here
03 The solution of System of Linear Equation (SLE)
Click Here
Click Here
04
Linear Combination
Click Here
Click Here
05 Linear Transformation
Click Here
Click Here
06 Eigen Values of Matrix
Click Here
Click Here
07 Coordinate Geometry
Click Here
Click Here
*********** Chapter Wise Problem List ***********
-
Dear Students, You can find your Lecture Notes. Please download each file and practice as much as possible.
-
-
Please see your Lectures in the link, Find your course class lectures, and review them as necessary
-